A curved display device including a first substrate, a thin film transistor (TFT) disposed on the first substrate, a pixel electrode connected to the TFT, a second substrate overlapping the first substrate, a liquid crystal layer disposed between the first and the second substrates, and a common electrode disposed between the second substrate and the liquid crystal layer, in which the pixel electrode includes a cross-shaped stem portion having a horizontal stem portion, a vertical stem portion, and a plurality of fine branches extending from the cross-shaped stem portion, at least one of the fine branches includes a first portion and a second portion having a width greater than that of the first portion, and an extending line from a boundary between the first portion and the second portion is sloped at an angle in a range of −10 degrees to +10 degrees with respect to the vertical stem portion.